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107749699200 = 27365211131719
BaseRepresentation
bin110010001011001100…
…0011110111010000000
3101022010021001212000000
41210112120132322000
53231132410333300
6121255522000000
710533065221503
oct1442630367200
9338107055000
10107749699200
1141772994890
1218a711a6000
13a212236280
1453023b113a
152c09791c00
hex191661ee80

107749699200 has 2688 divisors, whose sum is σ = 522557179200. Its totient is φ = 21499084800.

The previous prime is 107749699199. The next prime is 107749699249. The reversal of 107749699200 is 2996947701.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 5671036791 + ... + 5671036809.

Almost surely, 2107749699200 is an apocalyptic number.

107749699200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107749699200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261278589600).

107749699200 is an abundant number, since it is smaller than the sum of its proper divisors (414807480000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107749699200 is a wasteful number, since it uses less digits than its factorization.

107749699200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 107749699200 in words is "one hundred seven billion, seven hundred forty-nine million, six hundred ninety-nine thousand, two hundred".